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23223168 = 2732191061
BaseRepresentation
bin101100010010…
…1101110000000
31121200212012100
41120211232000
521421120133
62145430400
7401252013
oct130455600
947625170
1023223168
1112121a01
12793b400
134a71527
14312737a
15208ae13
hex1625b80

23223168 has 96 divisors (see below), whose sum is σ = 70410600. Its totient is φ = 7326720.

The previous prime is 23223157. The next prime is 23223181. The reversal of 23223168 is 86132232.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21358 + ... + 22418.

Almost surely, 223223168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23223168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35205300).

23223168 is an abundant number, since it is smaller than the sum of its proper divisors (47187432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23223168 is a wasteful number, since it uses less digits than its factorization.

23223168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 1085 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 23223168 is about 4819.0422284931. The cubic root of 23223168 is about 285.3035362563.

The spelling of 23223168 in words is "twenty-three million, two hundred twenty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 288 304 342 384 456 576 608 684 912 1061 1152 1216 1368 1824 2122 2432 2736 3183 3648 4244 5472 6366 7296 8488 9549 10944 12732 16976 19098 20159 21888 25464 33952 38196 40318 50928 60477 67904 76392 80636 101856 120954 135808 152784 161272 181431 203712 241908 305568 322544 362862 407424 483816 611136 645088 725724 967632 1222272 1290176 1451448 1935264 2580352 2902896 3870528 5805792 7741056 11611584 23223168